Search a number
-
+
2110121000 = 235313198543
BaseRepresentation
bin111110111000101…
…1110010000101000
312110001120020211122
41331301132100220
513310142333000
6545215114412
7103201506161
oct17561362050
95401506748
102110121000
11993121159
124aa812a08
13278222810
14160362768
15c53b6085
hex7dc5e428

2110121000 has 128 divisors (see below), whose sum is σ = 5598028800. Its totient is φ = 738028800.

The previous prime is 2110120979. The next prime is 2110121011. The reversal of 2110121000 is 1210112.

It is a super-2 number, since 2×21101210002 = 8905221269282000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 242729 + ... + 251271.

It is an arithmetic number, because the mean of its divisors is an integer number (43734600).

Almost surely, 22110121000 is an apocalyptic number.

2110121000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2110121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2799014400).

2110121000 is an abundant number, since it is smaller than the sum of its proper divisors (3487907800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2110121000 is a wasteful number, since it uses less digits than its factorization.

2110121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8596 (or 8582 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 2110121000 is about 45936.0533785827. The cubic root of 2110121000 is about 1282.6331293948.

Adding to 2110121000 its reverse (1210112), we get a palindrome (2111331112).

The spelling of 2110121000 in words is "two billion, one hundred ten million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 13 19 20 25 26 38 40 50 52 65 76 95 100 104 125 130 152 190 200 247 250 260 325 380 475 494 500 520 650 760 950 988 1000 1235 1300 1625 1900 1976 2375 2470 2600 3250 3800 4750 4940 6175 6500 8543 9500 9880 12350 13000 17086 19000 24700 30875 34172 42715 49400 61750 68344 85430 111059 123500 162317 170860 213575 222118 247000 324634 341720 427150 444236 555295 649268 811585 854300 888472 1067875 1110590 1298536 1623170 1708600 2110121 2135750 2221180 2776475 3246340 4057925 4220242 4271500 4442360 5552950 6492680 8115850 8440484 8543000 10550605 11105900 13882375 16231700 16880968 20289625 21101210 22211800 27764750 32463400 40579250 42202420 52753025 55529500 81158500 84404840 105506050 111059000 162317000 211012100 263765125 422024200 527530250 1055060500 2110121000